Minimizing the Number of Tiles in a Tiled Rectangle

Details Minimizing the Number of Tiles in a Tiled Rectangle Minimizing the Number of Tiles in a Tiled Rectangle

2008-05-30

arxiv.org/abs/0805.4679v2

Mathematics

History and Overview

This paper has been withdrawn by the author because it is very old version and contains some errors. Its new version is accept

Scientific paper

In this paper, we prove that if a finite number of rectangles, every of which
has at least one integer side, perfectly tile a big rectangle then there exists
a strategy which reduces the number of these tiles (rectangles) without
violating the condition on the borders of the tiles. Consequently this strategy
leads to yet another solution to the famous rectangle tiling theorem.

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